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Finding the Fourth Proportional to 14,308.58, 21,404.50 and 11,538.38

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Solution

The fourth proportional to 14,308.58, 21,404.50 and 11,538.38 is: 17,260.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,308.58 : 21,404.50 = 11,538.38 : x
  2. Step 2: Convert to fraction form
    14,308.58/21,404.50 = 11,538.38/x
  3. Step 3: Cross multiply
    14,308.58x = 21,404.50 × 11,538.38
  4. Step 4: Simplify right side
    14,308.58x = 246,973,254.71
  5. Step 5: Solve for x
    x = 246,973,254.71/14,308.58
  6. Step 6: Final answer
    x = 17,260.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.